Date: Feb 24, 2008 5:41 PM
Author: magidin@math.berkeley.edu
Subject: Re: discrete structures
In article <m5q3s3dbq3ujhgjpa63mcbkictmhg7ht6j@4ax.com>,

quasi <quasi@null.set> wrote:

>On Sun, 24 Feb 2008 16:45:23 EST, Nichole <xnicole13x@aol.com> wrote:

>

>>(a) Let n and a be positive integers with gcd(a, n)=1. Prove that the equation a x?1(mod n) has a solution.

>> (b) Solve 271 x ? 1 (mod 1003)

>> (c) Solve 7008x ? 1(mod 7919)

>>

>>any ideas or thoughts??

>

>For part (a), here's an outline ...

>

>(1) Define f: Z_n to Z_n by f(x) = a*x.

Geez, too much, and for all you know the poster does not even know

what Z_n means. How about using what you suggest for (b) and (c), and

then using (a) for (b) and (c)?

>For parts (b) and (c), read up on the Euclidean algorithm. Using the

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Arturo Magidin

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